Thursday, May 7

MS1
Hamilton-Jacobi Equations and Applications (Part I of III)

10:30 AM-12:30 PMSalon D

Hamilton-Jacobi (-Bellman, -Issacs) equations arise in many applications ranging from classical mechanics to contemporary problems of control. Singularities, discontinuities and constraints are often inherent features of these applications. Contemporary methods are making HJ equations increasingly effective in addressing these features. The speakers in this minisymposium will describe current developments in two categories. One is applications, primarily to control, perturbation or stability problems for stochastic or deterministic systems. The second is the "structural" properties of HJ equations: the role of state constraints, special features in infinite dimensions, the nature of singularities, discontinuous solutions, and numerical approaches.